Characterizations of Perfectly Clustering Words
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913448757035008 |
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| author | Lapointe, Mélodie Reutenauer, Christophe |
| author_facet | Lapointe, Mélodie Reutenauer, Christophe |
| contents | Perfectly clustering words are one of many possible generalizations of Christoffel words. In this article, we propose a factorization of a perfectly clustering word on a $n$ letters alphabet into a product of $n-1$ palindromes with a letter between each of them. This factorization allows us to generalize two combinatorial characterization of Christoffel words due to Pirillo (1999) and de Luca and Mignosi (1994). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19140 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizations of Perfectly Clustering Words Lapointe, Mélodie Reutenauer, Christophe Combinatorics 68R15 Perfectly clustering words are one of many possible generalizations of Christoffel words. In this article, we propose a factorization of a perfectly clustering word on a $n$ letters alphabet into a product of $n-1$ palindromes with a letter between each of them. This factorization allows us to generalize two combinatorial characterization of Christoffel words due to Pirillo (1999) and de Luca and Mignosi (1994). |
| title | Characterizations of Perfectly Clustering Words |
| topic | Combinatorics 68R15 |
| url | https://arxiv.org/abs/2407.19140 |